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Zbl 1140.35533
Pata, Vittorino; Zelik, Sergey
A remark on the damped wave equation. (English)
[J] Commun. Pure Appl. Anal. 5, No. 3, 611-616 (2006). ISSN 1534-0392; ISSN 1553-5258/e

Summary: In this short note we present a direct method to establish the optimal regularity of the attractor for the semilinear damped wave equation with a nonlinearity of critical growth.
MSC 2000:
*35L70 Second order nonlinear hyperbolic equations
35B33 Critical exponents
35B41 Attractors
35D10 Regularity of generalized solutions of PDE
35L20 Second order hyperbolic equations, boundary value problems

Keywords: optimal regularity of the attractor; critical growth

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